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Finding the Third Proportional to 306,174 and 482,738

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Solution

The third proportional to 306,174 and 482,738 is: 761,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,174 : 482,738 = 482,738 : x
  2. Step 2: Convert to fraction form
    306,174/482,738 = 482,738/x
  3. Step 3: Cross multiply
    306,174x = 482,738 × 482,738
  4. Step 4: Simplify right side
    306,174x = 233,035,976,644
  5. Step 5: Solve for x
    x = 233,035,976,644/306,174
  6. Step 6: Final answer
    x = 761,122.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.